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Hilbert Functions of Filtered Modules
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Catalogue Information
Field name
Details
Dewey Class
512
Title
Hilbert Functions of Filtered Modules ([Ebook]) / by Giuseppe Valla, Maria Evelina Rossi.
Author
Valla, Giuseppe
Added Personal Name
Rossi, Maria Evelina
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : Springer , 2010.
Physical Details
XVIII, 100 pages : online resource.
Series
Lecture Notes of the Unione Matematica Italiana
1862-9113 ; ; 9
ISBN
9783642142406
Summary Note
Hilbert functions play major parts in Algebraic Geometry and Commutative Algebra, and are also becoming increasingly important in Computational Algebra. They capture many useful numerical characters associated to a projective variety or to a filtered module over a local ring. Starting from the pioneering work of D.G. Northcott and J. Sally, we aim to gather together in one book a broad range of new developments in this theory by using a unifying approach which yields self-contained and easier proofs. The extension of the theory to the case of general filtrations on a module, and its application to the study of certain graded algebras which are not associated to a filtration are two of the main features of this work. The material is intended for graduate students and researchers who are interested in Commutative Algebra, particularly in the theory of the Hilbert functions and related topics.:
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
http://dx.doi.org/10.1007/978-3-642-14240-6
Links to Related Works
Subject References:
Algebra
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Algebraic Geometry
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Characteristic functions
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Commutative Rings and Algebras
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Filtered modules
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Geometry, Algebraic
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Hilbert modules
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Authors:
author
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Rossi, Maria Evelina
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Valla, Giuseppe
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Corporate Authors:
SpringerLink (Online service)
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Series:
Lecture Notes of the Unione Matematica Italiana
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Classification:
512
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512 (DDC 23)
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